If $f(0)=0$ and $f^{\prime}(0)=3$,then the derivative of $y=f(f(f(f(f(x)))))$ at $x=0$ is

If $y = (x \cot^3 x)^{3/2}$,then $\frac{dy}{dx} = $

If $y = f \left( \frac{3x + 4}{5x + 6} \right)$ and $f'(x) = \tan(x^2)$,then $\frac{dy}{dx} = $

Find the derivative: $\frac{d}{dx} \tan^{-1} \left( \frac{ax - b}{bx + a} \right) = $

Find the derivative of the following function (it is to be understood that $a, b, c, d, p, q, r$ and $s$ are fixed non-zero constants and $m$ and $n$ are integers): $(ax^{2} + \sin x)(p + q \cos x)$

If $y=\sqrt{2 x+\cos ^2\left(2 x+\frac{\pi}{4}\right)}$,then find $\frac{d y}{d x}$ at $x=\frac{\pi}{4}$.